1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andriy [413]
2 years ago
6

Find the total area for the regular pyramid.

Mathematics
1 answer:
hram777 [196]2 years ago
3 0

Answer:

  • Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

<u>Find the base area:</u>

  • A = 3√3/2a²
  • A = 3√3/2*6² = 54√3

<u>Given the height and radius, find the side of the lateral triangular faces:</u>

  • \sqrt{8^2+6^2} =\sqrt{100} =10

Each of 6 triangles have sides 10, 10 and 6 units.

<u>Find the area using heron's formula:</u>

  • s = P/2 = (10*2 + 6)/2 = 13
  • s - a = s - b = 13 - 10 = 3
  • s - c = 13 - 6 = 7
  • A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}

<u>Total surface area:</u>

  • S = 6*3\sqrt{91}+54\sqrt{3}  =18\sqrt{91}+54\sqrt{3}

Correct choice is B

You might be interested in
Estimate √38.7 to the nearest integer
Murljashka [212]
Well 6^2 is 36 so my best estimate is 6
7 0
3 years ago
Read 2 more answers
translate the sentence into an equation. eight more than the product of a number and 2 is equal to 4. use the variable b for the
Korolek [52]

6 + 8x, where x is a number. You can also write this in standard form as 8x + 6.



5 0
3 years ago
12 POINTS! WILL MARK BRAINIEST! IF YOU TAKE THE POINTS I WILL REPORT PLEASE ASAP! QUESTION IN PIC
tamaranim1 [39]
6-9y. The fourth choice
3 0
3 years ago
Answer these 4 for me please help me step by step
tangare [24]

4.

The equation we have is:

\frac{8}{5}a=-6

To solve for "a", we want to isolate it in one side.

For this. we can start by multiplying each side by 5. This will make the denominator to cancel out:

\begin{gathered} 5\cdot\frac{8}{5}a=5\cdot(-6) \\ 8a=-30 \end{gathered}

Now, we can divide both sides by 8, which will cancel the coefficient 8 multiplying "a":

\begin{gathered} \frac{8a}{8}=-\frac{30}{8} \\ a=-\frac{15}{4} \end{gathered}

And that is the answer to 4.

6 0
1 year ago
Multi step equations​
baherus [9]

Answer:

what is the problem?

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The volume of
    7·2 answers
  • What is the difference between Glasgow and Copenhagen. (Glasgow= -7.8 Copenhagen=-3.8)
    13·1 answer
  • Solve for x:5x/2=330/4
    15·1 answer
  • A boardwalk is to be erected along an ocean beach. The specifications for the boardwalk require a width of at least 155 cm., but
    6·1 answer
  • 612 divided by 12 (not in decimal form!)
    11·2 answers
  • Please help me solve this , is for tomorrow​
    9·1 answer
  • 3. Leeland can eat 1 hotdog in 20 minutes. What is his unit rate in hotdogs
    10·1 answer
  • The model shows the area (in square units) of each part of a rectangle. Use the model to find missing values that complete the e
    9·1 answer
  • What’s the answer to this question?
    11·1 answer
  • PLEASE HELP ASAP……..
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!